UV unwrap and get same coordinates
The transform coordinates are referred to the world coordinates, expressed in Blender Units, while the UV coordinates are expressed in pixels, with 0,0 left bottom corner, and 256 x 256 as default (size changes according to a selected image in the UV/Image window), so it doesn't make sense try to match the two values. If you want to mantain the shape use a square texture and select "project from view" as UV Unwrap algorithm.

A workaround can be using your texture as reference, create a "cage" with the dimensions of the texture, then inset the face you need, choose Unwrap "project from view (bounds), then delete the faces you don't need.